Answer:
4.2 units
most likely answer choice B
Step-by-step explanation:
(1, 2) and (4, 5)
To find the distance between two points, we use the distance formula:
Let's plug in what we know.
Evaluate the parentheses.
Evaluate the exponents.
Add.
Evaluate the radical.
d = 4.24
Round to the nearest tenth.
d = 4.2 units
*note: The answer choice is 4.6. I'm not sure if that is a typo on someone's end, but the distance between these two points is exactly 4.24264068712 units.
Hope this helps!
Answer:
the answer is 7.33
Step-by-step explanation:
I used a calculator
-1 and 1/3 because you convert to a regular fraction and get (32/9)/(-8/3), then you flip the fraction and multiply
Answer:
top one is 0.6 bottom one is 0.1
Answer:
95% confidence interval for the difference between the average mass of eggs in small and large nest is between a lower limit of 0.81 and an upper limit of 2.39.
Step-by-step explanation:
Confidence interval is given by mean +/- margin of error (E)
Eggs from small nest
Sample size (n1) = 60
Mean = 37.2
Sample variance = 24.7
Eggs from large nest
Sample size (n2) = 159
Mean = 35.6
Sample variance = 39
Pooled variance = [(60-1)24.7 + (159-1)39] ÷ (60+159-2) = 7619.3 ÷ 217 = 35.11
Standard deviation = sqrt(pooled variance) = sqrt(35.11) = 5.93
Difference in mean = 37.2 - 35.6 = 1.6
Degree of freedom = n1+n2 - 2 = 60+159-2 = 217
Confidence level = 95%
Critical value (t) corresponding to 217 degrees of freedom and 95% confidence level is 1.97132
E = t×sd/√(n1+n2) = 1.97132×5.93/√219 = 0.79
Lower limit = mean - E = 1.6 - 0.79 = 0.81
Upper limit = mean + E = 1.6 + 0.79 = 2.39
95% confidence interval for the difference in average mass is (0.81, 2.39)
